On concentrated probabilities on non locally compact groups
Bartoszek, Wojciech
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996), p. 635-640 / Harvested from Czech Digital Mathematics Library
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Let $G$ be a Polish group with an invariant metric. We characterize those probability measures $\mu$ on $G$ so that there exist a sequence $g_n \in G$ and a compact set $A \subseteq G$ with \, ${\mu}^{*n} (g_n A) \equiv 1$ \, for all $n$.

Publié le : 1996-01-01
Classification:  22D40,  43A05,  47A35,  60B15,  60J15 
@article{118870,
     author = {Wojciech Bartoszek},
     title = {On concentrated probabilities on non locally compact groups},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {37},
     year = {1996},
     pages = {635-640},
     zbl = {0881.22001},
     mrnumber = {1426928},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118870}
}

Bartoszek, Wojciech. On concentrated probabilities on non locally compact groups. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 635-640. http://gdmltest.u-ga.fr/item/118870/

Bartoszek W. On concentrated probabilities, Ann. Polon. Math. 61.1 (1995), 25-38. (1995) | MR 1318315 | Zbl 0856.22006

Bartoszek W. The structure of random walks on semidirect products, Bull. L'Acad. Pol. Sci. ser. Sci. Math. Astr. & Phys. 43.4 (1995), 277-282. (1995) | MR 1414784 | Zbl 0849.22006

Csiszár I. On infinite products of random elements and infinite convolutions of probability distributions on locally compact groups, Z. Wahrsch. Verw. Gebiete 5 (1966), 279-299. (1966) | MR 0205306

Jaworski W.; Rosenblatt J.; Willis G. Concentration functions in locally compact groups, preprint, 17 pages, 1995. | MR 1399711 | Zbl 0854.43001

Parthasarathy K.R. Introduction to Probability and Measure, New Delhi, 1980. | Zbl 1075.28001

Sine R. Geometric theory of a single Markov operator, Pacif. J. Math. 27.1 (1968), 155-166. (1968) | MR 0240281 | Zbl 0281.60083